Access Code Probability and Combinations

The video tutorial explains how to calculate probabilities using the fundamental counting principle. It covers scenarios with non-repeating digits, repeating digits, and restricted digit choices for access codes. The tutorial demonstrates how to compute the number of possible combinations and the probability of guessing an access code on the first try. It also explains scientific notation and converting probabilities to percentages.

What is the fundamental counting principle used for in probability?

• To determine the likelihood of a single event

• To calculate the number of possible outcomes in a sequence of events

• To find the average of a set of numbers

• To measure the spread of data in a dataset

How many different access codes are possible if each digit can be used only once?

• 30,240

• 24,192

• 10,000

• 100,000

What is the probability of guessing a non-repeating 5-digit access code correctly on the first try?

• 1 in 100,000

• 1 in 30,240

• 1 in 10,000

• 1 in 24,192

When digits can be repeated, how many possible 5-digit access codes are there?

• 30,240

• 10,000

• 24,192

• 100,000

What is the probability of guessing a repeating 5-digit access code correctly on the first try?

• 1 in 24,192

• 1 in 100,000

• 1 in 30,240

• 1 in 10,000

How does allowing digits to repeat affect the number of possible outcomes?

• It decreases the number of possible outcomes

• It increases the number of possible outcomes

• It has no effect on the number of possible outcomes

• It makes the outcomes unpredictable

In a restricted scenario, how many numbers can be chosen for the first digit?

• 9

• 7

• 8

• 10

What is the probability of guessing a restricted 5-digit access code correctly on the first try?

• 1 in 10,000

• 1 in 24,192

• 1 in 30,240

• 1 in 100,000

How does restricting two numbers from being used affect the probability of guessing the code?

• It makes the probability unpredictable

• It has no effect on the probability

• It decreases the probability

• It increases the probability

What is the effect of having more numbers and possibilities on the likelihood of guessing an access code?

• It has no effect on the likelihood

• It makes it less likely to guess correctly

• It makes it more likely to guess correctly

• It makes the likelihood unpredictable